Orbital Analysis for matched events on 20210813_005054.082_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 53.78° Bg -3.98° Vg 71.76km/s
mass 0.00619g, abs. mag 0.7
Path Details
------------
start 0.93° 53.98° 106.91km
end   0.67° 53.98° 100.62km

Orbit Details
-------------
Semimajor axis -15.08A.U., eccentricity 1.07, inclination 173.24°, Period 1000000000.00Y, LA Sun 140.22°, 

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459439.535348175559
Time: 2021-08-13 00:50:54.082368 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK002K
 Convergence angle = 19.61143 deg
 R.A. =  52.58871  Dec = +16.03599 deg

Best intersection: Stations UK0026 and UK002K with Qconv = 19.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3473564.43 +/- 103.20 m
 Y =  -1594665.93 +/- 125.27 m
 Z =   5221777.89 +/- 204.04 m
 Vx =    42711.20 +/- 698.55 m/s
 Vy =    55505.99 +/- 933.19 m/s
 Vz =    19168.96 +/- 1148.99 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK0026: -0.000655 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 00:50:54.082368 UTC
  Lon     = ++0.930545 +/- 0.0023 deg
  Lat     = +53.977660 +/- 0.0008 deg
  Lat geo = +53.797447 +/- 0.0008 deg
  Ht      =  106901.09 +/- 189.15 m

  JD dynamic   = 2459439.536148916464 
  LST apparent = 335.3407918093 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.42215 +/- 0.0740 deg
  Dec       = +15.30688 +/- 0.7434 deg
  Azimuth   =  91.16707 +/- 0.4711 deg
  Elevation = +19.89679 +/- 0.6023 deg
  Vavg      =  69.28991 +/- 0.8567 km/s
  Vinit     =  72.61274 +/- 0.9229 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  52.47293 +/- 0.0740 deg
  Dec       = +15.25049 +/- 0.7434 deg
  Azimuth   =  91.16233 +/- 0.4711 deg
  Elevation = +19.82223 +/- 0.6023 deg
  Vavg      =  69.55199 +/- 0.8567 km/s
  Vinit     =  72.87483 +/- 0.9229 km/s
Radiant (geocentric, J2000):
  R.A.   =  52.42083 +/- 0.0802 deg
  Dec    = +14.85790 +/- 0.7537 deg
  Vg     =  71.75946 +/- 0.9335 km/s
  Vinf   =  72.61274 +/- 0.9229 km/s
  Zc     =  70.09964 +/- 0.6009 deg
  Zg     =  70.57474 +/- 0.6133 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  53.77969 +/- 0.1729 deg
  Bg     =  -3.98051 +/- 0.7377 deg
  Vh     =  42.54339 +/- 0.9139 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  55.83288 +/- 0.2789 deg
  Bh     =  -6.72350 +/- 1.2680 deg
  Vh_x   = -23.72842 +/- 0.5321 km/s
  Vh_y   = -34.95844 +/- 0.8331 km/s
  Vh_z   =   4.98090 +/- 0.8978 km/s
Orbit:
  La Sun = 140.222441 +/- nan deg
  a      = -15.076404 +/- 6.7212 AU
  e      =   1.066592 +/- 0.0904
  i      = 173.244787 +/- 1.2725 deg
  peri   = 349.236552 +/- 0.6217 deg
  node   = 320.253241 +/- 0.0097 deg
  Pi     = 309.489793 +/- 0.6187 deg
  q      =   1.003974 +/- 0.0010 AU
  f      =  10.793443 +/- 0.6248 deg
  M      =        nan +/- nan deg
  Q      = -31.156781 +/- 13.4424 AU
  n      =   0.016837 +/- 0.0557 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.599238 +/- 0.4973
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 3.825085
 a2 = 17.328895

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.128e-05 s
  Stddev    = 3.36e-03 s

Begin point on the trajectory:
  Lon =     0.930778 +/- 0.0023 deg
  Lat =    53.977657 +/- 0.0008 deg
  Ht  = 106906.73 +/- 188.73 m
End point on the trajectory:
  Lon =     0.668243 +/- 0.0014 deg
  Lat =    53.980512 +/- 0.0007 deg
  Ht  = 100623.80 +/- 137.95 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK0026,   False,    -0.023645,    52.984073,    6.00,  28.177299,   8.638656,   106498.90,   100669.75,          0.020411,     46.75,     33.83,              54.60, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210813_005044_699_0418304.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   1.519321,  21.315820,   106906.73,   100623.80,          0.007779,     15.51,     10.43,              35.94, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_005048_591_0412416.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK0026,       0,  0.029596, 2459439.535348524339,  87.52919,  65.89876,               28.98929,  39.21566,        28.98828,       39.19546,     87.52919,     +65.89876,      87.56597,      +65.88519,  3472869.18, -1595569.46,  5221465.86,      53.977859,       +0.913760,  106498.90,  166475.92,       0.00,             1181.99,    -1.20,      0.00,           71980.36,     34.42,     47.56,          72.74,  +4.26,  +3.15
  1,     UK0026,       0,  0.069680, 2459439.535348988138,  88.81531,  66.44907,               28.01264,  39.23311,        28.01223,       39.22175,     88.81531,     +66.44907,      88.83627,      +66.44127,  3471324.90, -1597576.36,  5220772.77,      53.978292,       +0.876583,  105606.22,  165007.47,    2625.42,             3807.41,  -286.39,  65497.96,           71980.36,     19.18,     26.51,          40.90,  +3.00,  +1.91
  2,     UK0026,       0,  0.109784, 2459439.535349452402,  90.48578,  67.11957,               26.79945,  39.24712,        26.79937,       39.24280,     90.48578,     +67.11957,      90.49412,      +67.11652,  3469442.83, -1600022.23,  5219928.09,      53.978805,       +0.831295,  104519.55,  163258.37,    5825.10,             7007.08,     1.23,  79784.51,           71980.36,      7.23,      9.98,          15.57,  +2.48,  +1.42
  3,     UK0026,       0,  0.149844, 2459439.535349916201,  91.94089,  67.71662,               25.74465,  39.28930,        25.74449,       39.25103,     91.94089,     +67.71662,      92.01127,      +67.68898,  3467839.37, -1602106.03,  5219208.45,      53.979229,       +0.792674,  103594.82,  161802.96,    8551.12,             9733.11,  -181.62,  68048.54,           71980.36,     63.35,     87.55,         137.76,  +2.99,  +1.95
  4,     UK0026,       0,  0.190004, 2459439.535350380931,  94.01242,  68.35009,               24.45501,  39.22321,        24.45464,       39.24793,     94.01242,     +68.35009,      93.96847,      +68.36851,  3465915.47, -1604606.26,  5218345.00,      53.979722,       +0.746353,  102486.62,  160101.70,   11821.91,            13003.90,   173.04,  81443.91,           73743.89,    -40.51,    -55.98,          89.02,  +3.63,  +2.61
  5,     UK0026,       0,  0.230048, 2459439.535350844264,  95.44543,  68.86339,               23.50996,  39.25325,        23.51042,       39.23696,     95.44543,     +68.86339,      95.47573,      +68.85101,  3464533.88, -1606401.72,  5217724.94,      53.980065,       +0.713032,  101691.66,  158909.56,   14170.73,            15352.72,  -385.84,  58656.07,           72094.81,     26.49,     36.61,          58.65,  +3.29,  +2.28
  6,     UK0026,       0,  0.270164, 2459439.535351308528,  97.53813,  69.46383,               22.27634,  39.21513,        22.27654,       39.21078,     97.53813,     +69.46383,      97.54699,      +69.46043,  3462755.93, -1608712.30,  5216926.98,      53.980493,       +0.670186,  100669.75,  157415.11,   17193.42,            18375.40,  -276.09,  75348.54,           71854.46,      7.00,      9.68,          15.66,  +5.26,  +4.27
  0,     UK002K,       0,  0.000000, 2459439.535348175559,  49.71516,  51.91212,               59.99938,  46.35437,        60.00061,       46.35545,     49.71516,     +51.91212,      49.71294,      +51.91201,  3473574.18, -1594653.27,  5221782.26,      53.977657,       +0.930778,  106906.73,  146596.25,       0.00,               16.57,   982.47,      0.00,           62743.83,     -1.96,     -2.92,           4.95,  +3.56,  +2.73
  1,     UK002K,       0,  0.039624, 2459439.535348634236,  49.66743,  52.37370,               59.46195,  46.63189,        59.46944,       46.63861,     49.66743,     +52.37370,      49.65378,      +52.37305,  3472429.61, -1596140.72,  5221268.57,      53.977983,       +0.903187,  106244.71,  145033.62,    1945.88,             1929.31,    17.99,  49108.58,           62743.83,    -11.95,    -17.77,          30.46,  +2.22,  +1.41
  2,     UK002K,       0,  0.079048, 2459439.535349090584,  49.57389,  53.07365,               58.64544,  47.05763,        58.65181,       47.06343,     49.57389,     +53.07365,      49.56221,      +53.07308,  3470733.31, -1598345.17,  5220507.27,      53.978455,       +0.862365,  105264.50,  142738.71,    4829.73,             4813.16,    39.16,  73149.72,           62743.83,    -10.07,    -14.97,          26.08,  +1.98,  +1.21
  3,     UK002K,       0,  0.118540, 2459439.535349547397,  49.46565,  53.69102,               57.92503,  47.43997,        57.91856,       47.43402,     49.46565,     +53.69102,      49.47857,      +53.69161,  3469279.39, -1600234.62,  5219854.74,      53.978849,       +0.827342,  104425.24,  140788.38,    7301.51,             7284.94,  -356.68,  62589.40,           62743.83,     10.12,     15.05,          26.57,  +2.43,  +1.69
  4,     UK002K,       0,  0.157864, 2459439.535350002814,  49.36009,  54.52279,               56.91744,  47.92529,        56.91647,       47.92438,     49.36009,     +54.52279,      49.36266,      +54.52288,  3467383.89, -1602697.96,  5219004.03,      53.979348,       +0.781718,  103332.32,  138273.16,   10524.04,            10507.47,    10.42,  81948.08,           66898.62,      1.50,      2.23,           4.01,  +2.02,  +1.32
  5,     UK002K,       0,  0.197288, 2459439.535350459162,  49.24615,  55.23028,               56.05437,  48.34128,        56.04802,       48.33524,     49.24615,     +55.23028,      49.25987,      +55.23089,  3465823.01, -1604726.42,  5218303.50,      53.979745,       +0.744106,  102433.38,  136223.62,   13177.67,            13161.10,  -198.63,  67309.99,           68147.84,      9.79,     14.56,          26.56,  +2.09,  +1.42
  6,     UK002K,       0,  0.236632, 2459439.535350914579,  49.10996,  56.03480,               55.05628,  48.80719,        55.04307,       48.79438,     49.10996,     +56.03480,      49.13856,      +56.03611,  3464101.75, -1606963.31,  5217531.00,      53.980170,       +0.702635,  101443.18,  133989.17,   16103.96,            16087.38,  -129.22,  74376.99,           69259.98,     20.20,     30.05,          55.74,  +1.73,  +1.09
  7,     UK002K,       0,  0.276084, 2459439.535351370927,  49.02413,  56.72393,               54.17222,  49.18230,        54.16978,       49.17989,     49.02413,     +56.72393,      49.03053,      +56.72418,  3462675.96, -1608816.22,  5216891.10,      53.980512,       +0.668243,  100623.80,  132158.06,   18527.92,            18511.35,  -569.97,  61440.85,           69072.18,      3.72,      5.53,          10.41,  +2.40,  +1.79
  8,     UK002K,       1,  0.315560, 2459439.535351827741,  48.80138,  57.35039,               53.41203,  49.58509,        53.35527,       49.52839,     48.80138,     +57.35039,      48.92752,      +57.35646,  3461400.20, -1610474.15,  5216318.53,      53.980809,       +0.637446,   99891.30,  130535.71,   20696.82,            20680.25, -1267.53,  54942.31,           68041.24,     85.91,    127.85,         243.39,  +3.16,  +2.58

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.